A Method of Approximate Greens Function for Solving Reflection of Particles in Plane Geometry
Abstract
A method for approximate analytical solution of transport equation for particles in plane geometry is developed by solving Fredholm integral equations. Kernels of these equations are the Greens functions for infinite media treated approximately. Analytical approximation of Greens function is based on decomposition of the functions into terms that are exactly analytically solved and those which are approximately obtained by usual low order DPN approximation. Transport of particles in half-space is treated, and reflection coefficient is determined in the form of an analytical function. Comparison with the exact numerical solution and other approximate methods justified the proposed analytical technique.
Keywords:
transport equation / Greens function / DPN approximation / reflection coefficientSource:
Nuclear technology and radiation protection, 2016, 31, 3, 228-232Funding / projects:
- Physical and functional effects of radiation interaction with electrotechnical and biological systems (RS-MESTD-Basic Research (BR or ON)-171007)
DOI: 10.2298/NTRP1603228B
ISSN: 1451-3994
WoS: 000388432000004
Scopus: 2-s2.0-85000995997
Collections
Institution/Community
VinčaTY - JOUR AU - Belić, Čedomir I. AU - Simović, Rodoljub AU - Stanković, Koviljka PY - 2016 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1313 AB - A method for approximate analytical solution of transport equation for particles in plane geometry is developed by solving Fredholm integral equations. Kernels of these equations are the Greens functions for infinite media treated approximately. Analytical approximation of Greens function is based on decomposition of the functions into terms that are exactly analytically solved and those which are approximately obtained by usual low order DPN approximation. Transport of particles in half-space is treated, and reflection coefficient is determined in the form of an analytical function. Comparison with the exact numerical solution and other approximate methods justified the proposed analytical technique. T2 - Nuclear technology and radiation protection T1 - A Method of Approximate Greens Function for Solving Reflection of Particles in Plane Geometry VL - 31 IS - 3 SP - 228 EP - 232 DO - 10.2298/NTRP1603228B ER -
@article{ author = "Belić, Čedomir I. and Simović, Rodoljub and Stanković, Koviljka", year = "2016", abstract = "A method for approximate analytical solution of transport equation for particles in plane geometry is developed by solving Fredholm integral equations. Kernels of these equations are the Greens functions for infinite media treated approximately. Analytical approximation of Greens function is based on decomposition of the functions into terms that are exactly analytically solved and those which are approximately obtained by usual low order DPN approximation. Transport of particles in half-space is treated, and reflection coefficient is determined in the form of an analytical function. Comparison with the exact numerical solution and other approximate methods justified the proposed analytical technique.", journal = "Nuclear technology and radiation protection", title = "A Method of Approximate Greens Function for Solving Reflection of Particles in Plane Geometry", volume = "31", number = "3", pages = "228-232", doi = "10.2298/NTRP1603228B" }
Belić, Č. I., Simović, R.,& Stanković, K.. (2016). A Method of Approximate Greens Function for Solving Reflection of Particles in Plane Geometry. in Nuclear technology and radiation protection, 31(3), 228-232. https://doi.org/10.2298/NTRP1603228B
Belić ČI, Simović R, Stanković K. A Method of Approximate Greens Function for Solving Reflection of Particles in Plane Geometry. in Nuclear technology and radiation protection. 2016;31(3):228-232. doi:10.2298/NTRP1603228B .
Belić, Čedomir I., Simović, Rodoljub, Stanković, Koviljka, "A Method of Approximate Greens Function for Solving Reflection of Particles in Plane Geometry" in Nuclear technology and radiation protection, 31, no. 3 (2016):228-232, https://doi.org/10.2298/NTRP1603228B . .